M. Gnewuch

collaborators

Showing math.NAShow all

3 papers · 1 filter

math.NA2026

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter

We study embeddings between reproducing kernel Hilbert spaces $H (K)$ of functions of $d \in N \cup {\infty}$ variables. The kernels $K$ are superpositions of weighted fi…

math.NA2026

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces

Michael Gnewuch, Josef Dick, Lev Markhasin +1

We study the integration problem over the $s$ -dimensional unit cube on four types of Banach spaces of integrands. First we consider Haar wavelet spaces, consisting of functions who…

math.NA2025

Multi- and Infinite-variate Integration and $L^{2}$ -Approximation on Hilbert Spaces with Gaussian Kernels

Michael Gnewuch, Klaus Ritter, Robin RÃ¼Ãmann

We study integration and $L^{2}$ -approximation in the worst-case setting for deterministic linear algorithms based on function evaluations. The underlying function space is a reprodu…

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces

Multi- and Infinite-variate Integration and L2-Approximation on Hilbert Spaces with Gaussian Kernels

Multi- and Infinite-variate Integration and $L^{2}$ -Approximation on Hilbert Spaces with Gaussian Kernels